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arXiv · 1909.02299

Stereotype approximation property for the algebras $C(M)$ of continuous functions on metric spaces

Sergei Akbarov
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Abstract

In his previous works the author introduced the notion of the stereotype approximation property as an analog of the classical approximation property transferred to the category ${\tt Ste}$ of stereotype spaces. It is known, that the study of this property is much more difficult than in the classical theory, since the spaces of operators in the category ${\tt Ste}$ are defined in a more complicated way. In this note, it is proved that the algebra $C(M)$ of continuous functions on an arbitrary complete (not necessarily locally compact) metric space $M$ has the stereotype approximation property.

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Sergei Akbarov. 2019-09-05. Stereotype approximation property for the algebras $C(M)$ of continuous functions on metric spaces. https://doi.org/10.1134/s0001434620090138

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